I should go into this a bit.
The side chains run on trusted network, so we can assume individual cash cards obey contract,they do not double spend. We have two methods to speed up transaction clearing, rel and virtual custodial coins. Both methods require a small number of clearing banks which can swap account balances at par across a secure point to point network.
Most of the small transactions are balanced before calling block chain, they are balance and stored off line. In the custodial clearing system, each bank runs its own version of the crypto coin and they clear at part. In the virtual system, the bank transactions are keyed by bank id, as in Swift, the the crypto coins are personal coins. In either case, double spending prohibited. In the one case, differing version of the same coin are swapped, in the other account balanced over differing bank ids.
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